Table for CAN(5,k,14) for k up to 10000

Last Updated Sun May 8 14:02:10 MST 2016

Locate the k in the first column that is at least as large as the number of factors in which you are interested. Then let N be the number of rows (tests) given in the second column. A CA(N;5,k,14) exists according to a construction in the reference (cryptically) given in the third column. The accompanying graph plots N vertically against log k (base 10).

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k N Source 6 537824 Derive from strength 6 7 621306 Augment OA 8 666168 Augment OA 9 712680 Augment OA 10 760428 Augment OA 11 808930 Augment OA 12 857559 Augment OA 13 905650 Augment OA 14 952188 Augment OA 17 1048572 orthogonal array fuse fuse 18 1419851 orthogonal array fuse fuse fuse 19 2150217 Add 1 factors 20 2476089 orthogonal array fuse fuse fuse fuse fuse 21 2958870 Martirosyan-TVT variant 22 3003460 Martirosyan-TVT 23 3143297 Martirosyan-TVT variant 24 3145713 perfect hash family3,24,17 25 3327693 Martirosyan-TVT variant 26 3363001 Martirosyan-TVT 27 3432185 Martirosyan-TVT variant 28 3481871 Martirosyan-TVT 29 3705656 Martirosyan-TVT variant 30 3814328 Martirosyan-TVT 31 3827179 Martirosyan-TVT variant 32 3843653 Martirosyan-TVT 33 3846521 Martirosyan-TVT variant 34 3857220 Martirosyan-TVT 35 4457348 Martirosyan-TVT variant 36 4481676 Martirosyan-TVT 37 5796626 Add 1 factors 39 6291426 perfect hash family6,39,17 42 6847718 Power N-CT9^2Arc(6) 43 6858910 Power N-CT9^2Arc(2)T3 46 6894230 Power N-CT9^2Arc(5) 48 6905422 Power N-CT9^2T3T1 51 6940742 Power N-CT9^2Arc(4) 54 6951934 Power N-CT9^2T3 57 6987254 Power N-CT9^2Arc(3) 64 7033766 Power N-CT9^2T1T1 72 7080278 Power N-CT9^2T1 81 7126790 Power N-CT9^2 82 7604270 Power N-CT9^2+1 83 8089290 Power N-CT9^2+2 84 8575580 Power N-CT9^2+3 91 8752713 Power CT11^2Arc(3) 100 8801215 Power CT11^2T1T1 110 8849717 Power CT11^2T1 121 8898219 Power CT11^2 122 9433138 Power CT11^2+1 123 9769775 Power CT13^2Arc(4) 130 9816917 Power CT13^2T3 132 9817328 Power CT13^2T2T1 133 9817866 Power CT13^2Arc(3) 143 9865419 Power CT13^2T2 144 9865957 Power CT13^2T1T1 156 9914048 Power CT13^2T1 169 9962139 Power CT13^2 170 10474057 Power CT13^2+1 172 11245129 Power CT16^2TD(2):2,2,2 187 11294639 Power CT17^2T6 196 11341513 Power CT16^2T2T2 204 11343268 Power CT17^2T5 221 11391359 Power CT17^2T4 238 11437897 Power CT17^2T3 289 11534281 Power CT17^2 290 13321339 Add 1 factors 291 14478131 Add 2 factors 292 15516959 Add 3 factors 293 15645349 Add 4 factors 294 15762192 Add 5 factors 305 17477401 Add 16 factors 306 18741193 Add 17 factors 307 19311062 Power N-CT19^2Arc(3) 324 20041428 Power N-CT19^2T1T1 338 20768195 Martirosyan-TVT 342 20771794 Power N-CT19^2T1 361 21502160 Power N-CT19^2 374 22281249 Martirosyan-TVT 375 22434333 Martirosyan-TVT variant 377 22483455 Martirosyan-TVT variant 384 22499829 Martirosyan-TVT 392 22510437 Martirosyan-TVT 408 22512192 Martirosyan-TVT 409 22611646 Martirosyan-TVT variant 411 22628020 Martirosyan-TVT variant 416 22644394 Martirosyan-TVT 420 22675178 Martirosyan-TVT 442 22676296 Martirosyan-TVT 443 22726097 Martirosyan-TVT variant 448 22857089 Martirosyan-TVT 449 22888991 Martirosyan-TVT variant 476 22905365 Martirosyan-TVT 480 23009055 Martirosyan-TVT 512 23013449 Martirosyan-TVT 544 23120114 Martirosyan-TVT 545 23203925 Martirosyan-TVT variant 546 23220299 Martirosyan-TVT 547 23961227 Martirosyan-TVT variant 578 24702155 Martirosyan-TVT 579 26778060 Martirosyan-TVT variant 580 26817336 Martirosyan-TVT 581 27974128 Martirosyan-TVT variant 582 27993766 Martirosyan-TVT 584 29032594 Martirosyan-TVT 586 29160984 Martirosyan-TVT 588 29277827 Martirosyan-TVT 610 30993036 Martirosyan-TVT 612 32256828 Martirosyan-TVT 613 33069134 Martirosyan-TVT variant 614 33108410 Martirosyan-TVT 615 34949097 Martirosyan-TVT variant 616 35042485 Power N-CT29^2Arc(9) 637 35266270 Power N-CT29^2Arc(8) 659 35490055 Power N-CT29^2Arc(7) 682 35713840 Power N-CT29^2Arc(6) 706 35937625 Power N-CT29^2Arc(5) 731 36161410 Power N-CT29^2Arc(4) 757 36385195 Power N-CT29^2Arc(3) 784 36608980 Power N-CT29^2T1T1 812 36832765 Power N-CT29^2T1 841 37056550 Power N-CT29^2 868 37926472 Power N-CT31^2T3 870 38137406 Power N-CT31^2T2T1 899 38150257 Power N-CT31^2T2 900 38246078 Power N-CT31^2T1T1 930 38258929 Power N-CT31^2T1 961 38271780 Power N-CT31^2 962 38436520 Power N-CT31^2+1 963 38465200 Power N-CT31^2+2 964 38572190 Power N-CT31^2+3 965 41250138 Add 1 factors 992 42263698 Power CT32^2T1 1024 42280172 Power CT32^2 1025 42311720 Power CT32^2+1 1026 42429409 Power CT32^2+2 1036 43252213 Martirosyan-TVT 1052 43264043 Martirosyan-TVT 1055 43288015 Martirosyan-TVT variant 1084 43312767 Martirosyan-TVT 1088 43349505 Martirosyan-TVT 1090 43517127 Martirosyan-TVT 1092 43533501 Martirosyan-TVT 1094 44550237 Martirosyan-TVT 1123 45291165 Martirosyan-TVT variant 1125 45315917 Martirosyan-TVT variant 1132 45390173 Martirosyan-TVT 1141 45402627 Martirosyan-TVT variant 1148 45526387 Martirosyan-TVT 1156 45538945 Martirosyan-TVT 1157 47793145 Martirosyan-TVT variant 1158 47867401 Martirosyan-TVT 1160 47906677 Martirosyan-TVT 1162 49063469 Martirosyan-TVT 1163 49083107 Martirosyan-TVT variant 1164 49107859 Martirosyan-TVT 1168 50146687 Martirosyan-TVT 1172 50275077 Martirosyan-TVT 1176 50391920 Martirosyan-TVT 1194 51391500 Power N-CT37^2Arc(5) 1210 52131881 Martirosyan-TVT 1220 52293705 Martirosyan-TVT 1227 52706450 Power N-CT37^2Arc(4) 1261 54021400 Power N-CT37^2Arc(3) 1296 55336350 Power N-CT37^2T1T1 1332 56598828 perfect hash family66,1332,12 1341 57485564 Martirosyan-TVT variant 1345 57584572 Martirosyan-TVT variant 1364 57683580 Martirosyan-TVT 1385 57907365 Martirosyan-TVT variant 1412 57932117 Martirosyan-TVT 1430 58155902 Martirosyan-TVT 1462 58191067 Martirosyan-TVT 1514 58414852 Martirosyan-TVT 1540 58638637 Martirosyan-TVT 1568 58832883 Martirosyan-TVT 1624 59056668 Martirosyan-TVT 1700 59148753 Power CT23^3T13T13T6 1716 59151464 Power CT23^3T12T11T10 1728 59152002 Power CT23^3T11T11T11 1764 59196381 Power CT23^3T14T9T9 1870 59197255 Power CT23^3T13T12T6 1872 59200093 Power CT23^3T11T11T10 1960 59244129 Power CT23^3T13T9T9 2057 59245757 Power CT23^3T12T12T6 2156 59292631 Power CT23^3T12T9T9 2210 59293975 Power CT23^3T13T10T6 2244 59294386 Power CT23^3T12T11T6 2380 59340513 Power CT23^3T13T9T6 2431 59342477 Power CT23^3T12T10T6 2448 59343015 Power CT23^3T11T11T6 2618 59389015 Power CT23^3T12T9T6 2652 59391106 Power CT23^3T11T10T6 2744 59435889 Power CT23^3T9T9T9 2890 59436897 Power CT23^3T13T6T6 3179 59485399 Power CT23^3T12T6T6 3332 59532273 Power CT23^3T9T9T6 3468 59534028 Power CT23^3T11T6T6 3757 59582119 Power CT23^3T10T6T6 4046 59628657 Power CT23^3T9T6T6 4913 59725041 Power CT23^3T6T6T6 5202 60096320 Power CT23^3T6T6T5 5508 60467599 Power CT23^3T6T5T5 5832 60838878 Power CT23^3T5T5T5 6120 61523837 Power CT23^3T6T5T3 6156 61569244 Power CT23^3T5T5T4 6358 61679929 Power CT23^3T6T6T1 6647 61819766 Power CT23^3T6T6 6732 62051208 Power CT23^3T6T5T1 7038 62191045 Power CT23^3T6T5 7128 62422487 Power CT23^3T5T5T1 7452 62562324 Power CT23^3T5T5 7480 63107446 Power CT23^3T6T3T1 7524 63152853 Power CT23^3T5T4T1 7820 63247283 Power CT23^3T6T3 7866 63292690 Power CT23^3T5T4 7920 63478725 Power CT23^3T5T3T1 8280 63618562 Power CT23^3T5T3 8602 63774654 Power CT23^3T6T1 8993 63914491 Power CT23^3T6 9108 64145933 Power CT23^3T5T1 9522 64285770 Power CT23^3T5 9614 64876299 Power CT23^3T4T1 10000 65016136 Power CT23^3T4

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